Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360ia |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-5.2614515184E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15876800,-26739127500] |
[a1,a2,a3,a4,a6] |
j |
-918468938249433649/109183593750000 |
j-invariant |
L |
2.7047263231106 |
L(r)(E,1)/r! |
Ω |
0.037565658156434 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170bn3 18480bm3 |
Quadratic twists by: -4 -7 |